The price of a child ticket and an adult ticket to a theme park are $5 and $15 respectively. The amount collected from the sale of the child tickets is $2480 less than the amount from the sale of the adult tickets. The number of adult tickets sold is 10 more than the number of child tickets sold. What is the total amount collected from the tickets sold?
|
Children |
Adults |
Total |
Number |
1 u |
1 u + 10 |
|
Value |
5 |
15 |
|
Total Value |
5 u |
15 u + 150 |
20 u + 150 |
Number of children = 1 u
Number of adults = 1 u + 10
Total amount collected from the sale of the child tickets
= 5 x 1 u
= 5 u
Total amount collected from the sale of the adult tickets
= 15 x (1 u + 10)
= 15 u + 150
The amount collected from the sale of the child tickets is $2480 less than the amount from the sale of the adult tickets.
15 u + 150 = 5 u + 2480
15 u - 5 u = 2480 - 150
10 u = 2330
1 u = 2330 ÷ 10 = 233
Total amount collected from the tickets sold
= 5 u + 15 u + 150
= 20 u + 150
= 20 x 233 + 150
= 4660 + 150
= $4810
Answer(s): $4810